We characterize the optimal mortgage contract in a continuous-time setting with stochastic growth in house price and income, costly foreclosure, and a risky borrower who requires incentives to repay his debt. We show that many features of subprime loans can be consistent with properties of the...

This article studies optimal mortgage design in a continuous-time setting with volatile and privately observable income, costly foreclosure, and a stochastic market interest rate. We show that the features of the optimal mortgage are consistent with an option adjustable-rate mortgage (option...

This paper explores the practice of mortgage refinancing in a dynamic competitive lending model with risky borrowers and costly default. We show that prepayment penalties improve welfare by ensuring longer-term lending contracts, which prevents the mortgage pools from becoming disproportionately...

We consider the optimal design of mortgage-backed securities (MBS) in a dynamic setting in which a mortgage underwriter with limited liability can engage in costly hidden effort to screen borrowers and can sell loans to investors. We show that (i) the timing of payments to the underwriter is the...

This paper explores the practice of mortgage refinancing in a dynamic competitive lending model with risky borrowers and costly default. We show that the prepayment penalties are welfare improving, and that they are more beneficial to borrowers with higher risk of default. The empirical evidence...

the market interest rate is low. Thus, our analysis provides theoretical evidence that these alternative mortgages, which have recently generated great controversy, can benefit both lenders and borrowers.

This paper provides a theoretical analysis of the efficiency of prepayment penalties in a dynamic competitive lending model with risky borrowers and costly default. When considering improvements in the borrower's creditworthiness as one of the reasons for refinancing mortgages, we show that...

include constraints to limit the loss faced by the underwriter for an early first default. In this more complicated setting, a simple implementation using a CDS and a risk free bond persists.

Assuming full rationality, we characterize the optimal mortgage contract in a continuous time setting with a risky borrower, costly default, a moral hazard problem between the borrower and the lender, and a stochastic house appreciation. We show that many features of subprime lending observed in...